## Borrowing and Regrouping Subtraction

#### Aligned To Common Core Standard:

**Grade 2 Operations** - Related to 2.NBT.B.7

What is Borrowing and Regrouping in Subtraction? We know what subtraction is, right? When we remove a certain number from a bigger number, the mathematical operation is referred to as subtraction. When we take away a certain amount, the original amount becomes less, and the result or the answer we get is known as the difference. The sign for denoting subtraction is called a minus, '-. ' Now, let's suppose that you are at your house, playing a board game with a group of friends. Suddenly, another one of your friends walks in and is asking for joining the game. That confuses the entire group, and everyone is thinking of how to add the new friend into their group. The teams that were created were even and had the ideal number of opponents. This leaves the groups with one simple choice; to regroup. You can take two or three people from the teams and let the new friend 'borrow' members from the previous team so that the teams now created match evenly! Similar to the example, math also uses regrouping. When we do not have a sufficient number to take away from the amount given, we regroup and borrow from one group to the other so that the operation can be completed. Even though regrouping is not required in every subtraction word problem, sometimes it is quite necessary to use and can mess up the entire calculation if skipped! These worksheets and lessons teach students about the process involved in reordering subtraction problems.

### Printable Worksheets And Lessons

- Caveman Lesson- We start to maintain the concept of subtracting right to left, but also look ahead.
- Guided Lesson - We chose problems that cover all places of borrowing. Lots of regrouping on problem 3.
- Guided Lesson Explanation - Only the third problem requires a long discussion.
- 2-digit Subtraction with Borrowing - You will find some extra space to work around with.
- Triple Digit Subtraction with Regrouping - You can also teach students to bunch problems. We start off with a bit of a dozzy.

#### Two Digit Practice Sheets

We encourage students to always start with the grid and then slowly move to the open question forms.

- Double Digit (In Grid) - Solve the following double digit subtraction problems.
- Double Digit (Open) - When subtracting multi-digit numbers, we start subtracting at the right and move to the left.
- Double Digit (Patterned) - To make it large enough to be subtracted, we borrow a one from the tens place.

#### Triple Digit Worksheets

Triple digit work is the height of this standard.

- (In Grid) - Find the difference for the following subtraction problems.
- (Guided) - Rewrite all these digits and subtract.
- (Fully Patterned) - Let's add some space in this problem to see it properly.

#### 4 Digit Practice

Note that this is above the related standard. We thought we would it for gifted students.

- (In Grid) 1 - The ones place is too small. We will borrow from the tens place.
- (In Grid) 2 - Subtract the remaining digits towards the end of the problem.